642410496 has 288 divisors, whose sum is σ = 2289530880. Its totient is φ = 168984576.

The previous prime is 642410473. The next prime is 642410513. The reversal of 642410496 is 694014246.

642410496 is a `hidden beast` number, since 642 + 4 + 1 + 0 + 4 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 642410496.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1677121 + ... + 1677503.

It is an arithmetic number, because the mean of its divisors is an integer number (7949760).

Almost surely, 2^642410496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642410496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144765440).

642410496 is an abundant number, since it is smaller than the sum of its proper divisors (1647120384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

642410496 is a wasteful number, since it uses less digits than its factorization.

642410496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 642410496 is about 25345.8181166046. The cubic root of 642410496 is about 862.8544488984.

The spelling of 642410496 in words is "six hundred forty-two million, four hundred ten thousand, four hundred ninety-six".